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Finding the Fourth Proportional to 29,935.74, 41,308.17 and 16,506.21

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Solution

The fourth proportional to 29,935.74, 41,308.17 and 16,506.21 is: 22,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,935.74 : 41,308.17 = 16,506.21 : x
  2. Step 2: Convert to fraction form
    29,935.74/41,308.17 = 16,506.21/x
  3. Step 3: Cross multiply
    29,935.74x = 41,308.17 × 16,506.21
  4. Step 4: Simplify right side
    29,935.74x = 681,841,328.74
  5. Step 5: Solve for x
    x = 681,841,328.74/29,935.74
  6. Step 6: Final answer
    x = 22,776.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.